Prime p₀= 816453279386377901 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 178 2 136 2 58 2 22 2 (?)
a_n: 0 2 36 38 48 50 228 230 366 368 426 428 450 452
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 452
Found by: [SG]FX
db: batch=73, k=14, 34 10 178 136 58 22

SPT(16)	816451521551750443	0 16 24 60 144 154 186 196 234 244 276 286 370 406 414 430	-1757834627458
SPT(16)	816451808117880379	0 4 48 58 60 70 100 102 130 132 162 172 174 184 228 232	-1471268497522
TPT(14)	816451897912390499	0 2 42 44 48 50 138 140 240 242 258 260 270 272	-1381473987402
STPT(10)	816452317611087887	0 2 30 32 72 74 114 116 144 146	-961775290014
SPT(16)	816452519103413993	0 50 54 84 110 120 126 150 164 188 194 204 230 260 264 314	-760282963908
SPT(16)	816453275824805237	0 12 24 56 84 86 90 104 132 146 150 152 180 212 224 236	-3561572664
STPT(10)	816453668520699899	0 2 18 20 30 32 42 44 60 62	389134321998
TPT(14)	816453806401033751	0 2 66 68 96 98 108 110 168 170 210 212 306 308	527014655850
SPT(16)	816453848732045869	0 24 34 60 108 120 168 178 210 220 268 280 328 354 364 388	569345667968
TPT(14)	816454098147575021	0 2 96 98 156 158 198 200 210 212 318 320 408 410	818761197120
SPT(16)	816454301341760117	0 14 56 66 80 116 126 144 176 194 204 240 254 264 306 320	1021955382216